Hi, Welcome to JustAnswer. I am a licensed veterinarian and I'm here to help you. Not knowing what Buster's growths are makes it very difficult to treat successfully. One should be biopsied to determine what the lump is and how to treat these accurately. If your vet is uncomfortable doing a surgery on a rabbit, there other vets who would be able to do this for you. Buster did have fine needle aspirates of these lumps. What needs to be determined is if these are cancerous or are these hyperplastic lymph nodes. Then if they are just hyperplastic, where is the infection that is causing these to be enlarged. . .his teeth perhaps?
Oral antibiotics usually won't treat an eye infection. Buster needs to have an antibiotic eye ointment!